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Numerical Study of the Maximum Boundary Shear Stress Induced by Raindrop Impact
Author(s) -
Hartley D. M.,
Alonso C. V.
Publication year - 1991
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/91wr01219
Subject(s) - shear stress , compressibility , boundary value problem , mechanics , algebraic number , algebraic equation , magnitude (astronomy) , position (finance) , mathematics , shear (geology) , boundary (topology) , stress (linguistics) , mathematical analysis , geology , physics , nonlinear system , linguistics , philosophy , petrology , finance , quantum mechanics , astronomy , economics
The magnitude, position, and timing of the instantaneous maximum boundary shear stress caused by a raindrop on a shallow pool of water are investigated using a series of computer simulation experiments in which the Navier‐Stokes equations are solved numerically. A dimensional analysis defines a set of parameters involving fluid properties and initial conditions relevant to the problem. Numerical simulations are performed over ranges of these parameters using a generic, two‐dimensional, incompressible, free surface flow model. Results of the simulations are summarized in simple algebraic relationships which serve to clarify the relative importance of the parameters. The algebraic relationships also serve as an efficient substitute for the numerical model in the estimation of the magnitude, position, and timing of the maximum boundary shear stress. Laboratory measurements of water‐droplet‐induced shear stress are used to demonstrate the validity of the algebraic relationships.